Analisi e Metodi Matematici

DRAFT - WORK IN PROGRES …

Calcolo infinitesimale e le sue applicazioni 1

  • T. W. Körner - Calculus for the Ambitious (2014)
  • Daniel Kleppner, Peter Dourmashkin, Norman Ramsay - Quick Calculus: A Self-teaching Guide, 3° ed. (2022)
  • Benjamin Crowell - Brief Calculus
  • Paul J. Nahin - When least is best. How mathematicians discovered many clever ways to make things as small (or as large) as possible (2007)
  • David Acheson - The Calculus Story. A Mathematical Adventure (2018)
  • Steven H. Strogatz - Infinite Powers. How Calculus Reveals the Secrets of the Universe. (2019)
    trad.it. Il potere dell’infinito. L’universo raccontato dal calcolo infinitesimale
  • Ben Orlin - Change Is the Only Constant. The Wisdom of Calculus in a Madcap World
  • Morris Kline - Mathematics and the Physical World
  • Morris Kline - Calculus An intuitive physical approach

Introduzione all’analisi non standard

  • H.J. Keisler - Elementary calculus. An infinitesimal approach
  • Keith D. Stroyan - Foundations of infinitesimal calculus (1997)
  • Riccardo Dossena - Analisi non standard: Il calcolo da Leibniz a Robinson (2010)
  • Paolo Bonavoglia - Il calcolo infinitesimale. Analisi per i licei alla maniera non standard (2011)

Calcolo infinitesimale e le sue applicazioni 2

  • Keith D. Stroyan - Projects for Calculus. The Language of Change (1998)
  • Frank Morgan - Calculus (2012)
  • Serge Lang - Short Calculus The Original Edition of “A First Course in Calculus” 2002
  • Gilbert Strang, Edwin “Jed” Herman - Calculus, vol. 1-3 (OpenStax)
  • Saul Stahl - Real Analysis. A Historical Approach
  • Paul J. Nahin - Inside Interesting Integrals

Analisi Matematica

  • Lara Alcock - How to think about Analysis (2014)
  • Frank Morgan - Real Analysis (2005)
  • Cesar E. Silva - Invitation to Real Analysis (2019)
  • Serge Lang - Undergraduate Analysis (1997)
  • Spivak - Calculus - 4° ed. (2008)

Metodi matematici per la Fisica e dintorni

  • James Nearing - Mathematical Tools for Physics (2010)
  • Frederick W. Bryon, Robert W. Fuller - Mathematics of Classical and Quantum Physics
  • Louis Lyons - All you wanted to know about mathematics but were afraid to ask.Vol. 1-2
  • Hamza E. Alsamraee - Advanced Calculus Explored. With Applications in Physics, Chemistry, and Beyond (2019)
  • Sy M. Blinder - Guide to essential math. A review for physics, chemistry and engineering students (2013)
  • Erwin Kreyszig - Advanced Engineering Mathematics, 10th Ed - (2011)
  • Roel Snieder, Kasper Van Wijk - A guided tour of mathematical methods for the physical sciences - 3° ed. (2015)

Online: James Nearing - Mathematical Tools for Physics http://www.physics.miami.edu/~nearing/mathmethods/

Approfondimenti di metodi matematici

  • Alexander Altland, Jan von Delft - Mathematics for Physicists: Introductory Concepts and Methods (2019)
  • Kevin Cahill - Physical Mathematics, 2° ed. (2019)
  • Sadri Hassani - Mathematical Physics. A Modern Introduction to Its Foundations (2013)
  • Peter Szekeres - A Course in Modern Mathematical Physics. Groups, Hilbert Space and Differential Geometry (2004)
  • Michael Stone, Paul Goldbart - Mathematics for Physics (2009)
  • Chris Isham - Lectures on groups and vector spaces for physicists
  • Chris Isham - Modern Differential Geometry for Physicists

Online: Stone, Goldbart https://goldbart.gatech.edu/PG_MS_MfP.htm